cosinusrad_error.cc

The cosinus product function – error analysis for the Poisson problem

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinusrad.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float error_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh; din >> uh;
space Xh = uh.get_space();
size_t d = Xh.get_geo().dimension();
field pi_h_u = interpolate(Xh, u_exact(d));
field eh = uh - pi_h_u;
trial u (Xh); test v (Xh);
form m = integrate (u*v);
form a = integrate (dot(grad(u),grad(v)));
dout << "error_l2 " << sqrt(m(eh,eh)) << endl
<< "error_linf " << eh.max_abs() << endl
<< "error_h1 " << sqrt(a(eh,eh)) << endl;
return (eh.max_abs() <= error_linf_expected) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
rheolef::field_basic::max_abs
T max_abs() const
Definition: field.h:731
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
cosinusrad.h
The cosinus radius function.
main
int main(int argc, char **argv)
Definition: cosinusrad_error.cc:29
eh
field_basic< T, M > eh
Definition: form_field_expr.h:58
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.a
int a
Definition: mkgeo_ball.sh:151
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
u
Definition: leveque.h:25
u_exact
g u_exact
Definition: taylor_exact.h:26
u
Float u(const point &x)
Definition: transmission_error.cc:26